Ivan Arzhantsev

844 total citations
41 papers, 297 citations indexed

About

Ivan Arzhantsev is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Ivan Arzhantsev has authored 41 papers receiving a total of 297 indexed citations (citations by other indexed papers that have themselves been cited), including 37 papers in Geometry and Topology, 24 papers in Mathematical Physics and 13 papers in Algebra and Number Theory. Recurrent topics in Ivan Arzhantsev's work include Algebraic Geometry and Number Theory (30 papers), Advanced Algebra and Geometry (21 papers) and Algebraic structures and combinatorial models (10 papers). Ivan Arzhantsev is often cited by papers focused on Algebraic Geometry and Number Theory (30 papers), Advanced Algebra and Geometry (21 papers) and Algebraic structures and combinatorial models (10 papers). Ivan Arzhantsev collaborates with scholars based in Russia, Germany and France. Ivan Arzhantsev's co-authors include Jürgen Hausen, Mikhail Zaidenberg, Antonio Laface, Ulrich Derenthal, Frank Kutzschebauch, Hubert Flenner, Hendrik Süß, Mikhail Zaidenberg and Dmitry A. Timashev and has published in prestigious journals such as Advances in Mathematics, Proceedings of the American Mathematical Society and Duke Mathematical Journal.

In The Last Decade

Ivan Arzhantsev

36 papers receiving 270 citations

Peers

Ivan Arzhantsev

GT

MP

ANT

CTM

AM

Shulim Kaliman United States

V. A. Iskovskikh Russia

Gene Freudenburg United States

Yves Cornulier France

Jason Starr United States

Mikhail Zaidenberg France

H�l�ne Esnault Germany

Atsushi Moriwaki Japan

Laurent Moret-Bailly France

Emmanuel Ullmo France

Shulim Kaliman United States

Ivan Arzhantsev

303 ×1.1

GT

115 ×0.8

MP

58 ×0.6

ANT

50 ×1.0

CTM

83 ×1.9

AM

Citations per year, relative to Ivan Arzhantsev Ivan Arzhantsev (= 1×) peers Shulim Kaliman

Countries citing papers authored by Ivan Arzhantsev

Since Specialization

Citations

This map shows the geographic impact of Ivan Arzhantsev's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Ivan Arzhantsev with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Ivan Arzhantsev more than expected).

Fields of papers citing papers by Ivan Arzhantsev

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Ivan Arzhantsev. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Ivan Arzhantsev. The network helps show where Ivan Arzhantsev may publish in the future.

Co-authorship network of co-authors of Ivan Arzhantsev

This figure shows the co-authorship network connecting the top 25 collaborators of Ivan Arzhantsev. A scholar is included among the top collaborators of Ivan Arzhantsev based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Ivan Arzhantsev. Ivan Arzhantsev is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Arzhantsev, Ivan, et al.. (2025). On normality of projective hypersurfaces with an additive action. Journal of Algebraic Combinatorics. 62(3).

2.

Arzhantsev, Ivan, et al.. (2024). Affine homogeneous varieties and suspensions. Research in the Mathematical Sciences. 11(2).

3.

Arzhantsev, Ivan, et al.. (2024). Radiant toric varieties and unipotent group actions. Bulletin des Sciences Mathématiques. 192. 103419–103419. 1 indexed citations

4.

Arzhantsev, Ivan, et al.. (2023). Varieties covered by affine spaces, uniformly rational varieties and their cones. Advances in Mathematics. 437. 109449–109449. 3 indexed citations

5.

Arzhantsev, Ivan, et al.. (2020). Lie algebras of vertical derivations on semiaffine varieties with torus actions. Journal of Pure and Applied Algebra. 225(2). 106499–106499. 2 indexed citations

6.

Arzhantsev, Ivan, et al.. (2019). Infinite transitivity, finite generation, and Demazure roots. Advances in Mathematics. 351. 1–32. 7 indexed citations

7.

Arzhantsev, Ivan, et al.. (2014). Infinite transitivity on universal torsors. Journal of the London Mathematical Society. 89(3). 762–778. 15 indexed citations

8.

Arzhantsev, Ivan, et al.. (2013). Factorial algebraic group actions and categorical quotients. Journal of Algebra. 387. 87–98. 1 indexed citations

9.

Arzhantsev, Ivan, et al.. (2010). Cox rings, semigroups and automorphisms of affine algebraic varieties. Sbornik Mathematics. 201(1). 1–21. 11 indexed citations

10.

Arzhantsev, Ivan, et al.. (2010). Homogeneous Toric Varieties. Journal of Lie theory. 20(2). 283–293. 2 indexed citations

11.

Arzhantsev, Ivan. (2009). On the factoriality of Cox rings. Mathematical Notes. 85(5-6). 623–629. 10 indexed citations

12.

Arzhantsev, Ivan & Jürgen Hausen. (2008). Geometric invariant theory via Cox rings. Journal of Pure and Applied Algebra. 213(1). 154–172. 9 indexed citations

13.

Arzhantsev, Ivan & Jürgen Hausen. (2007). On the multiplication map of a multigraded algebra. Mathematical Research Letters. 14(1). 129–136.

14.

Arzhantsev, Ivan & Jürgen Hausen. (2005). On embeddings of homogeneous spaces with small boundary. Journal of Algebra. 304(2). 950–988. 11 indexed citations

15.

Arzhantsev, Ivan. (2003). Algebras with finitely generated invariant subalgebras. Annales de l’institut Fourier. 53(2). 379–398. 1 indexed citations

16.

Arzhantsev, Ivan. (2002). A classification of reductive linear groups.. Journal of Lie theory. 12(1). 289–299. 2 indexed citations

17.

Arzhantsev, Ivan. (2002). On the Stability of Diagonal Actions. Mathematical Notes. 71(5-6). 735–738.

18.

Arzhantsev, Ivan. (2002). Some results on uniqueness of addition in Lie algebras. Dialnet (Universidad de la Rioja). 19–24. 1 indexed citations

19.

Arzhantsev, Ivan. (2001). Invariant Differential Operators and Representations with Spherical Orbits. Presented at. 419–424. 1 indexed citations

20.

Arzhantsev, Ivan. (1997). On the normality of the closures of spherical orbits. Functional Analysis and Its Applications. 31(4). 278–280. 2 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact